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Finding the Third Proportional to 71,603,424 and 106,062,899

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Solution

The third proportional to 71,603,424 and 106,062,899 is: 157,106,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,603,424 : 106,062,899 = 106,062,899 : x
  2. Step 2: Convert to fraction form
    71,603,424/106,062,899 = 106,062,899/x
  3. Step 3: Cross multiply
    71,603,424x = 106,062,899 × 106,062,899
  4. Step 4: Simplify right side
    71,603,424x = 11,249,338,544,284,200
  5. Step 5: Solve for x
    x = 11,249,338,544,284,200/71,603,424
  6. Step 6: Final answer
    x = 157,106,153.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.